In this paper we consider some applications of Odd and Even Lidstone-type polynomial sequences. In particular we deal with the Odd and Even Lidstone-type and the Generalized Lidstone interpolatory problems with respect to a linear functional L_1 and, respectively, L_2. Estimations of the remainder for the related interpolation polynomials are given. Numerical examples are provided. Some possible applications of these interpolant polynomials to BVPs, expansions of analytical real functions and numerical quadrature are sketched.

Odd and Even Lidstone-type polynomial sequences. Part 2: applications

F. COSTABILE;M. I. GUALTIERI;A. NAPOLI
2020

Abstract

In this paper we consider some applications of Odd and Even Lidstone-type polynomial sequences. In particular we deal with the Odd and Even Lidstone-type and the Generalized Lidstone interpolatory problems with respect to a linear functional L_1 and, respectively, L_2. Estimations of the remainder for the related interpolation polynomials are given. Numerical examples are provided. Some possible applications of these interpolant polynomials to BVPs, expansions of analytical real functions and numerical quadrature are sketched.
Polynomial sequences, Odd and Even polynomials, Lidstone, Bernoulli and Euler polynomials, Boundary value problems, Quadrature formulas
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/299039
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